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Comparison of power operations in Morava E-theories

Date:

2015/12/16 Wed 17:00 - 18:00

Room:

Room 110, Building No.3

Speaker:

Takeshi TORII

Affiliation:

Graduate School of Natural Science and Technology, Okayama University

Abstract:

Localization is a fundamental tool to study the stable homotopy category and the localized stable homotopy categories with respect to Morava K-theories are building blocks for the (global) stable homotopy category.
Morava E-theory is a basic tool to study the localized stable homotopy category with respect to Morava K-theory.
Morava E-theory is a generalization of the complex K-theory and we have power operations in Morava E-theory, which are a generalization of Adams operations.
In this talk we consider a comparison of power operations in Morava E-theories of different heights.